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Problems on Partial Differential Equations: Problem Books in Mathematics

Autor Maciej Borodzik, Paweł Goldstein, Piotr Rybka, Anna Zatorska-Goldstein
en Limba Engleză Hardback – 16 mai 2019
This book covers a diverse range of topics in Mathematical Physics, linear and nonlinear PDEs. Though the text reflects the classical theory, the main emphasis is on introducing readers to the latest developments based on the notions of weak solutions and Sobolev spaces.
In numerous problems, the student is asked to prove a given statement, e.g. to show the existence of a solution to a certain PDE. Usually there is no closed-formula answer available, which is why there is no answer section, although helpful hints are often provided.
 
This textbook offers a valuable asset for students and educators alike. As it adopts a perspective on PDEs that is neither too theoretical nor too practical, it represents the perfect companion to a broad spectrum of courses.

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Specificații

ISBN-13: 9783030147334
ISBN-10: 3030147339
Pagini: 217
Ilustrații: XVI, 248 p. 6 illus., 4 illus. in color.
Dimensiuni: 155 x 235 mm
Greutate: 0.55 kg
Ediția:1st ed. 2019
Editura: Springer International Publishing
Colecția Springer
Seria Problem Books in Mathematics

Locul publicării:Cham, Switzerland

Cuprins

Preliminaries.- Distributions, Sobolev spaces and Fourier transform.- Common methods.- Elliptic equations.- Evolution equations.- Bibliography.

Recenzii

“This book can be helpful in the preparation of a PDE course providing a choice of exercises, but also it can be used by students to get an independent introduction to PDE theory and to deepen their understanding of solving the collected problems.” (Sergey Dashkovskiy, Mathematical Reviews, March 2, 2020)

“This book represents an important tool in the study of PDEs for the students as well for the teachers by adopting ‘a perspective on PDEs that is neither too theoretical nor too practical’ representing ‘the perfect companion to a broad spectrum of courses’.” (Cristian Chifu, zbMATH 1421.35001, 2019)

Notă biografică

Maciej Borodzik, the University of Warsaw, Warsaw, Poland
Paweł Goldstein, the University of Warsaw, Warsaw, Poland
Piotr Rybka, the University of Warsaw, Warsaw, Poland
Anna Zatorska-Goldstein, the University of Warsaw, Warsaw, Poland

Textul de pe ultima copertă

This book covers a diverse range of topics in Mathematical Physics, linear and nonlinear PDEs. Though the text reflects the classical theory, the main emphasis is on introducing readers to the latest developments based on the notions of weak solutions and Sobolev spaces.
In numerous problems, the student is asked to prove a given statement, e.g. to show the existence of a solution to a certain PDE. Usually there is no closed-formula answer available, which is why there is no answer section, although helpful hints are often provided.
 
This textbook offers a valuable asset for students and educators alike. As it adopts a perspective on PDEs that is neither too theoretical nor too practical, it represents the perfect companion to a broad spectrum of courses.

Caracteristici

Emphasizes the modern approach to PDEs based on the notion of weak solutions and Sobolev spaces Covers a wide spectrum of topics in PDEs and Mathematical Physics For many problems the reader is expected to prove simple statements